Question

C(x) = 0.6x+ 15,000 and R(x) = 1.25x where x is the number of units produced.

Answer 1

The profit function is the difference between the cost and revenue functions

The profit function is $P(x) = 0.65x - 15000$

How to calculate the profit function

The functions are given as:

• Cost function: C(x) =0.6x + 15000
• Revenue function: R(x) =1.25x

The profit function is then calculated as:

$P(x) =R(x)-C(x)$

So, we have:

$P(x) = 1.25x - 0.6x - 15000$

Evaluate the differences

$P(x) = 0.65x - 15000$

Hence, the profit function is $P(x) = 0.65x - 15000$

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